Most who call themselves "Jewish" today are not semitic, which is ironic because that is the buzz word (anti-semitic) thrown around anytime any one speaks against "Jews" or Israel.
The vast majority of those who claim to be "Jewish" that are in positions of power are Ashkenazi, which ironically again, was abbreviated by the "Jews" themselves to refer to the NSDAP (Nazi) as a derogatory slang term. Much like when Americans called Japanese "Japs" during the war.
So it all depends on the individual that is being talked about. The great majority who claim to be Jewish are not racially Jewish. The racial ones are indeed semitic, but they are few and far between. The majority of ones I see who wear yarmulkes in public don't look Mediterranean at all, but people accept them as being "authentic". It's really quite amusing.